Theory and applications of lattice point methods for binomial ideals


Conference Paper

This survey of methods surrounding lattice point methods for binomial ideals begins with a leisurely treatment of the geometric combinatorics of binomial primary decomposition. It then proceeds to three independent applications whose motivations come from outside of commutative algebra: hypergeometric systems, combinatorial game theory, and chemical dynamics. The exposition is aimed at students and researchers in algebra; it includes many examples, open problems, and elementary introductions to the motivations and background from outside of algebra. © Springer-Verlag Berlin Heidelberg 2011.

Full Text

Duke Authors

Cited Authors

  • Miller, E

Published Date

  • December 1, 2011

Published In

  • Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: the Abel Symposium 2009

Start / End Page

  • 99 - 154

International Standard Book Number 13 (ISBN-13)

  • 9783642194917

Digital Object Identifier (DOI)

  • 10.1007/978-3-642-19492-4_8

Citation Source

  • Scopus